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Aim #10-7: How do we compute probability? Empirical probability applies to situations in which we observe how frequently an event occurs.

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Presentation on theme: "Aim #10-7: How do we compute probability? Empirical probability applies to situations in which we observe how frequently an event occurs."— Presentation transcript:

1 Aim #10-7: How do we compute probability? Empirical probability applies to situations in which we observe how frequently an event occurs.

2 Example 1: Using Real-World Data

3 Check for Understanding:

4 What is Theoretical Probability? Sample Space is the set of all possible outcomes of an experiment. Example: The sample space of tossing a cone is heads and tails.

5 Example 2: Computing Theoretical Probability A die is rolled. Find the probability of getting a number less than 5.

6 Check for Understanding: A die is rolled. Find the probability of getting a number greater than 4.

7 Example 2: Computing Theoretical Probability Two ordinary six-sided dice are rolled. What is the probability of getting a sum of 8?

8 Solution: P(E)= 5/ 36

9 Example 4: Probability and a Deck of 52 Cards You are dealt one card from a standard 52- card deck. Find the probability of being dealt a heart.

10 Check for Understanding: If you are dealt one card from a standard 52- card deck, find the probability of being dealt a king.

11 Example 5: Probability and Combinations

12 Solution:

13 Extension: Now suppose that a person buys 5000 diferent tickets in Florida’s LOTTO. What is the probability of the person winning?

14 Check for Understanding:

15 Probability of an Event Not Occurring

16 Example 6:

17 Solution:

18 Check for Understanding:

19 Or Probability

20 Example 7: If one card is randomly selected from a deck of cards, what is the probability of selecting a king or a queen?

21 Check for Understanding: If you roll a single, six-sided die, what is the probability of getting a 4 or 5?

22 Or Probability

23 Example 8:

24 Check for Understanding: Using the spinner on the right, find the probability that the pointer will stop on an odd number or a number less than 5.

25 And Probability with Independent Events

26 Example 10: Independent Events

27 Solution:

28 Check for Understanding: Find the probability of green occurring on two consecutive plays on a roulette wheel.

29 Example 11: Independent Events The picture on the left shows a family that has had nine girls in a row. Find the probability of this occurrence.

30 Check for Understanding: Find the probability of a family having four boys in a row.

31 Summary: Answer incomplete sentences. Explain the difference between theoretical and empirical probability. Explain the difference between “or” and “and” probability events. You have a pair of dice. What is the probability of getting a sum of 11.


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